11259138240 has 224 divisors, whose sum is σ = 45394229760. Its totient is φ = 2573503488.

The previous prime is 11259138239. The next prime is 11259138259. The reversal of 11259138240 is 4283195211.

11259138240 is a `hidden beast` number, since 1 + 12 + 591 + 38 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11259138195 and 11259138204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32602 + ... + 153561.

Almost surely, 2^11259138240 is an apocalyptic number.

11259138240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11259138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22697114880).

11259138240 is an abundant number, since it is smaller than the sum of its proper divisors (34135091520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11259138240 is a wasteful number, since it uses less digits than its factorization.

11259138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186196 (or 186180 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11259138240 in words is "eleven billion, two hundred fifty-nine million, one hundred thirty-eight thousand, two hundred forty".